Question 1032818: Use the change of base formula to write the following in terms of natural logarithms.
1. Log2(5)
2. Find all solutions to: 11^(x+2)=12
3. Write the following logarithm as the sum of logarithms with no products, powers, or quotients.
f(x)=log2(x^3(x+9)^8/(x-1)^8)
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! Use the change of base formula to write the following in terms of natural logarithms.
1. Log2(5)
= ln(5)/ln(2)
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2. Find all solutions to: 11^(x+2)=12
(x+2)*ln(11) = ln(12)
x = -2 + ln(12)/ln(11)
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3. Write the following logarithm as the sum of logarithms with no products, powers, or quotients.
f(x)=log2(x^3(x+9)^8/(x-1)^8)
If you mean base 2:
= 3log(x) + 8log(x+9) - 8log(x-1) --- all base 2
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